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Bike Gear Ratio Calculator: How to Compare

Updated · Standard formula, shown below

Gear inches 91.7 inch
Meters dev.
7.31 m
Result
Speed
39.5 km/h
Result
Gear ratio
3.33
Result

Bike Gear Ratio Calculator: How to Compare

This bike gear ratio calculator lets you compare two or more gear setups side by side. You enter chainring teeth, cog teeth, wheel diameter, and optionally your cadence, and it returns gear inches, meters of development, gear ratio, and speed at that cadence. The comparison view shows the difference between setups so you can quickly see which is harder or easier.

Formula

Gear ratio = chainring teeth ÷ cog teeth. This is the number of times the rear wheel turns for each full pedal crank revolution. For example, a 50-tooth chainring with a 15-tooth cog gives a ratio of 50 ÷ 15 = 3.33. That means the wheel spins 3.33 times per crank revolution.

Gear inches = (chainring ÷ cog) × wheel diameter (in inches). This is the equivalent diameter of a direct-drive wheel that would move you the same distance per crank turn. It is the classic way cyclists compare gears, especially on road bikes.

Meters of development = gear ratio × wheel circumference (in meters). This is the actual distance the bike travels per crank revolution. Wheel circumference = wheel diameter × π. For a 27.5-inch wheel, diameter in meters is 27.5 × 0.0254 = 0.6985 m, so circumference is 0.6985 × π ≈ 2.194 m.

Speed = meters of development × cadence × 60 ÷ 1000 (to get km/h). Cadence is pedal revolutions per minute.

Worked Example

Using the defaults: chainring 50 teeth, cog 15 teeth, wheel diameter 27.5 inches, cadence 90 rpm.

  • Gear ratio = 50 ÷ 15 = 3.33
  • Gear inches = 3.33 × 27.5 = 91.7 inches
  • Wheel diameter in meters = 27.5 × 0.0254 = 0.6985 m
  • Wheel circumference = 0.6985 × Ï€ ≈ 2.194 m
  • Meters of development = 3.33 × 2.194 ≈ 7.31 m
  • Speed = 7.31 × 90 × 60 ÷ 1000 ≈ 39.5 km/h

The calculator shows 91.7 gear inches, 7.31 meters development, 39.5 km/h, and a ratio of 3.33.

How to Compare Two Gears

To compare, you need the same wheel size for both setups. The gear ratio alone (chainring ÷ cog) is enough to tell which is harder or easier, but gear inches and meters of development give you a feel for actual speed and distance.

  • Higher gear inches = harder to pedal, higher speed at same cadence.
  • Lower gear inches = easier to pedal, lower speed at same cadence.
  • Percentage difference is more useful than absolute difference. A 5-tooth change on a small cog matters more than on a large cog.

For example, 50/15 vs 50/16: The ratio changes from 3.33 to 3.125, a 6.2% difference. On a 27.5-inch wheel, that’s about 5.6 gear inches. You’ll notice that difference on a climb.

Common Mistakes When Comparing

The most frequent error is mixing wheel sizes. Gear inches are only comparable if the wheel diameter is the same. A 50/15 on a 26-inch wheel (86.7 gear inches) is not the same as on a 29-inch wheel (96.7 gear inches).

Another mistake is ignoring cadence. Two gears with the same ratio always give the same speed at the same cadence, but if you pedal at different cadences, speed differs. For comparing effort, cadence is key.

Also, don’t forget that gear inches are a legacy unit. Many modern cyclists prefer meters of development because it’s a real distance. Both are valid, but they are not interchangeable.

How to Choose the Right Gear Ratio

Your choice depends on terrain, fitness, and riding style. For climbing, you want a lower gear (smaller chainring or larger cog) to keep a comfortable cadence. For flat roads or descending, a higher gear lets you go faster without spinning out.

  • Road cycling: typical chainrings 50/34, cogs 11-28. A 50/15 is a mid-range gear.
  • Mountain biking: typical chainrings 32 or 34, cogs 11-50. A 32/50 is a very low gear for steep climbs.
  • Commuting: a middle ground like 42/16 on a single-speed is common.

Use the calculator to see the range of your drivetrain. For a 50/34 chainset with an 11-28 cassette, the easiest gear is 34/28 = 1.21 ratio, hardest is 50/11 = 4.55. That’s a wide range.

Gear Inches vs. Gear Ratio vs. Development

These three terms are often confused, but they measure different things.

  • Gear ratio – pure numbers, no units. It tells you the mechanical advantage.
  • Gear inches – a historical measure that assumes a wheel diameter. It is still used in the US and UK.
  • Meters of development – the actual distance per crank revolution. It is more intuitive for metric users.

For comparing gears on the same bike, gear ratio is sufficient. For comparing across different wheel sizes, use gear inches or meters of development.

Limitations of the Calculator

This calculator assumes a rigid bike with no losses. In reality, tire pressure, weight, wind, and drivetrain friction affect how a gear feels. The calculator gives you a theoretical comparison, not a real-world effort prediction.

Also, the wheel diameter is the nominal size, not the actual tire diameter. A 27.5-inch tire can vary by a few millimeters depending on the tire width and pressure. For precise numbers, measure the actual wheel circumference with a tape measure and a chalk mark on the tire.

For single-speed and fixed-gear bikes, you might also want to check skid patches. The number of skid patches depends on the gear ratio and whether the chainring and cog have common factors. This calculator does not compute that, but you can use the ratio to figure it out manually.

Frequently Asked Questions

What is a good gear ratio for a beginner?

For a beginner, a lower gear is easier on the knees. A ratio around 2.0 to 2.5 (e.g., 34/16 or 40/18) allows a comfortable cadence on flat ground. Avoid ratios above 3.5 until you build leg strength.

How do I convert gear inches to meters of development?

Multiply gear inches by π and then by 0.0254 (or simply multiply by 0.0798). For example, 90 gear inches × 0.0798 ≈ 7.18 meters. The exact factor is π × 0.0254 ≈ 0.0798.

Does wheel size affect gear ratio?

No, gear ratio is just chainring ÷ cog. But wheel size affects gear inches and meters of development, so the same ratio feels different on different wheels. A 29-inch wheel with a 50/15 will be faster but harder than a 26-inch wheel with the same ratio.

What is the difference between gear inches and gear ratio?

Gear ratio is a pure number (chainring ÷ cog). Gear inches multiplies that by the wheel diameter, giving a number that represents the equivalent wheel size. Gear inches are useful for comparing bikes with different wheel sizes, but gear ratio is simpler for same-bike changes.

Why do some cyclists use cadence in gear calculations?

Cadence is how fast you pedal. Speed = gear ratio × wheel circumference × cadence. Without cadence, you only know how far you travel per crank turn, not how fast. Cadence lets you estimate actual speed and effort, which is why many calculators include it.

Can I use this calculator for a bike with an internal gear hub?

Yes, but you need to account for the hub’s internal ratio. For example, a Shimano Nexus 8-speed has ratios from 0.527 to 1.615. Multiply the hub ratio by the chainring/cog ratio to get the effective gear ratio. This calculator doesn’t include hub ratios, so you’ll need to do that step manually.

Related

Formula used
in a | Chainring teeth | teeth | 50 | 1
in b | Cog teeth | teeth | 15 | 1
in w | Wheel diameter | inch | 27.5 | 1
in c | Cadence | rpm | 90 | 1
out gi | Gear inches | inch | a / b * w | 1
out mod | Meters dev. | m | (a / b) * (w * 0.0254 * pi) | 2
out spd | Speed | km/h | (a / b) * (w * 0.0254 * pi) * c * 60 / 1000 | 1
out gr | Gear ratio | - | a / b | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.